• Support PF! Buy your school textbooks, materials and every day products Here!

Circular momentum - Loop-the-loop question.

  • Thread starter Ripe
  • Start date
35
0
1. Homework Statement

A loop-the-loop machine has radius 18m. What is the minimum speed at which a cart must travel so that it will safely loop the loop?

2. Homework Equations

centripetal acceleration: v^2/r
velocity=(2r*pi)/t
Perhaps more?



3. The Attempt at a Solution

To be honest, my main problem is that I'm not really sure where to start. I calculated the displacement a cart must travel, i.e. the circumference of the diameter, but I don't know what to do next..
 
1,195
0
You want gravity to be nullified by centripetal acceleration when car is at highest point.
 
35
0
Ah. You mean that when it is at the highest point, the centriputal acceleration will have the same magnitude and direction as gravity and thus, we can deduce that the centriputal acceleration is 9.8ms^-2?
 
1,195
0
That's it.
 

Related Threads for: Circular momentum - Loop-the-loop question.

  • Last Post
Replies
3
Views
576
  • Last Post
Replies
3
Views
5K
  • Last Post
Replies
3
Views
714
Replies
3
Views
3K
  • Last Post
Replies
8
Views
2K
  • Last Post
Replies
2
Views
2K
  • Last Post
Replies
1
Views
2K
  • Last Post
Replies
14
Views
16K
Top